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Simplifying -0.10(82) + 0.65x = 0.05(x + -20) Multiply -0.10 * 82 -8.2 + 0.65x = 0.05(x + -20) Reorder the terms: -8.2 + 0.65x = 0.05(-20 + x) -8.2 + 0.65x = (-20 * 0.05 + x * 0.05) -8.2 + 0.65x = (-1 + 0.05x) Solving -8.2 + 0.65x = -1 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -8.2 + 0.65x + -0.05x = -1 + 0.05x + -0.05x Combine like terms: 0.65x + -0.05x = 0.6x -8.2 + 0.6x = -1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -8.2 + 0.6x = -1 + 0.00 -8.2 + 0.6x = -1 Add '8.2' to each side of the equation. -8.2 + 8.2 + 0.6x = -1 + 8.2 Combine like terms: -8.2 + 8.2 = 0.0 0.0 + 0.6x = -1 + 8.2 0.6x = -1 + 8.2 Combine like terms: -1 + 8.2 = 7.2 0.6x = 7.2 Divide each side by '0.6'. x = 12 Simplifying x = 12
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